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10000-01-01 Craggs, Robert F. Cavagnaro, Catherine Elizabeth 2011-05-07T13:56:01Z 2011-05-07T13:56:01Z 1995 In this paper, we present two new spines for ribbon disc complements. We describe Craggs's 3-dimensional spine and introduce a 2-dimensional spine ${\cal W}\sp2$ which we show satisfies the homotopy reciprocity law. We demonstrate that the reciprocity property remains invariant under insertions and conjecture that the property is invariant under deletions. If this is the case, then the ribbon disc complement spines described here satisfy the reciprocity law and, hence, are Kervaire. Made available in DSpace on 2011-05-07T13:56:01Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9624302.pdf: 1092658 bytes, checksum: 578c4e2cf1e30495ca6ea0878e55797d (MD5) Previous issue date: 1995 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:00:57Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:28:53-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9624302 (UMI)AAI9624302 http://hdl.handle.net/2142/22924 eng Copyright 1995 Cavagnaro, Catherine Elizabeth Mathematics A homotopy reciprocity law for ribbon disc complements text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.